class Cell {
  final PShape myshape ;
  final PImage myimage ;
  final int width, height ;
  final int defaultWidth = 200, defaultHeight = 200 ;
  Cell(PShape theshape) {
    myshape = theshape ;
    myimage = null ;
    width = round((myshape.width > 0) ? myshape.width : defaultWidth) ;
    height = round((myshape.height > 0) ? myshape.height : defaultHeight) ;
  }
  Cell(PShape theshape, int theWidth, int theHeight) {
    myshape = theshape ;
    myimage = null ;
    width = (theWidth > 0) ? theWidth : defaultWidth ;
    height = (theHeight > 0) ? theHeight : defaultHeight ;
    // println("DEBUG CELL w = " + width + " h = " + height);
  }
  Cell(PImage theimage) {
    myshape = null ;
    myimage = theimage ;
    width = (myimage.width > 0) ? myimage.width : defaultWidth ;
    height = (myimage.height > 0) ? myimage.height : defaultHeight ;
  }
  Cell(PImage theimage, int theWidth, int theHeight) {
    myshape = null ;
    myimage = theimage ;
    width = (theWidth > 0) ? theWidth : defaultWidth ;
    height = (theHeight > 0) ? theHeight : defaultHeight ;
  }
  void display(int x, int y) {
    display(x, y, width, height);
  }
  void display(int x, int y, int w, int h) {
    shapeMode(CENTER);
    imageMode(CENTER);
    pushMatrix();
    if (myshape != null) {
      shape(myshape, x, y, w, h);
      if (nestLevel > 1) {
        float shrinkage = (1.0 / nestLevel) ;
        for (int i = 1 ; i < nestLevel ; i++) {
          shape(myshape, x, y, w - w * (shrinkage * i), h - h * (shrinkage * i));
        }
      }
    } else {
      if (tintsIndex == 0) {
        noTint();
      } else {
        tint(tints[tintsIndex][tintsOffset]);
        tintsOffset = (tintsOffset+1) % tints[tintsIndex].length;
      }
      image(myimage, x, y, w, h);
      if (nestLevel > 1) {
        float shrinkage = (1.0 / nestLevel) ;
        for (int i = 1 ; i < nestLevel ; i++) {
          image(myimage, x, y, w - w * (shrinkage * i), h - h * (shrinkage * i));
        }
      }
    }
    popMatrix();
  }
}

/**
 * Cell Illustration 3.1 from
 * *Designing Tesselations* by Jinney Beyer, D. Parson, Fenruary 2019.
**/
PShape shape_3_1 = null ;
PShape make_3_1() {
  int sw = 1 ;
  PShape right, upperleft, lowerleft, diagonal ;
  if (shape_3_1 != null) {
    return shape_3_1 ;
  }
  right = createShape();
  right.beginShape();
  right.stroke(0);
  right.strokeWeight(sw);
  right.fill(0,0,255); // right.fill(100);
  right.vertex(100, -100);
  right.vertex(100, 100);
  right.vertex(0,0);
  right.vertex(0, -100);
  right.vertex(100, -100);
  right.endShape();
  diagonal = createShape();
  diagonal.beginShape();
  diagonal.stroke(0);
  diagonal.strokeWeight(sw);
  diagonal.fill(0, 255, 255); // diagonal.fill(200);
  diagonal.vertex(100, 100);
  diagonal.vertex(-100, -100);
  diagonal.vertex(-100,0);
  diagonal.vertex(0, 100);
  diagonal.vertex(100, 100);
  diagonal.endShape();
  upperleft = createShape();
  upperleft.beginShape();
  upperleft.stroke(0);
  upperleft.strokeWeight(sw);
  upperleft.fill(255, 0, 255) ; // upperleft.fill(255);
  upperleft.vertex(-100, -100);
  upperleft.vertex(0, 0);
  upperleft.vertex(0, -100);
  upperleft.vertex(-100, -100);
  upperleft.endShape();
  lowerleft = createShape();
  lowerleft.beginShape();
  lowerleft.stroke(0);
  lowerleft.strokeWeight(sw);
  lowerleft.fill(255, 0, 255); // lowerleft.fill(255);
  lowerleft.vertex(-100, 0);
  lowerleft.vertex(-100, 100);
  lowerleft.vertex(0, 100);
  lowerleft.vertex(-100, 0);
  lowerleft.endShape();
  PShape R = loadShape("r.svg");
  R.translate(-50, -85);
  shape_3_1 = createShape(GROUP);
  shape_3_1.addChild(right);
  shape_3_1.addChild(diagonal);
  shape_3_1.addChild(upperleft);
  shape_3_1.addChild(lowerleft);
  shape_3_1.addChild(R);

  PShape outer = createShape();
  outer.beginShape();
  outer.stroke(0);
  outer.strokeWeight(sw);
  outer.noFill();
  outer.vertex(-100, -100);
  outer.vertex(100, -100);
  outer.vertex(100, 100);
  outer.vertex(-100, 100);
  outer.vertex(-100, -100);
  outer.endShape();
  shape_3_1.addChild(outer);

  shape_3_1.translate(100.5, 100.5);
  int shape_3_1_size = 201 ;
  shape_3_1.width = shape_3_1_size ;  // It defaults to 0, but this works.
  shape_3_1.height = shape_3_1_size ;
  // println("shape_3_1 width = " + shape_3_1.width + ", height = " + shape_3_1.height);
  /*
  PGraphics pg = createGraphics(shape_3_1_size, shape_3_1_size);
  pg.beginDraw();
  pg.shapeMode(CENTER);
  pg.shape(shape_3_1, shape_3_1_size/2, shape_3_1_size/2, shape_3_1_size, shape_3_1_size);
  pg.endDraw();
  pg.save("shape_3_1_xxxxx.png");
  */
  return shape_3_1 ;
}